978846361200 has 720 divisors, whose sum is σ = 3578033178720. Its totient is φ = 247478353920.

The previous prime is 978846361153. The next prime is 978846361217. The reversal of 978846361200 is 2163648879.

978846361200 is a `hidden beast` number, since 9 + 78 + 8 + 4 + 6 + 361 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1650668104 + ... + 1650668696.

It is an arithmetic number, because the mean of its divisors is an integer number (4969490526).

Almost surely, 2^978846361200 is an apocalyptic number.

978846361200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978846361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789016589360).

978846361200 is an abundant number, since it is smaller than the sum of its proper divisors (2599186817520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

978846361200 is a wasteful number, since it uses less digits than its factorization.

978846361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 978846361200 in words is "nine hundred seventy-eight billion, eight hundred forty-six million, three hundred sixty-one thousand, two hundred".